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Finding the Fourth Proportional to 11,602.38, 17,408.43 and 8,341.32

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Solution

The fourth proportional to 11,602.38, 17,408.43 and 8,341.32 is: 12,515.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.38 : 17,408.43 = 8,341.32 : x
  2. Step 2: Convert to fraction form
    11,602.38/17,408.43 = 8,341.32/x
  3. Step 3: Cross multiply
    11,602.38x = 17,408.43 × 8,341.32
  4. Step 4: Simplify right side
    11,602.38x = 145,209,285.33
  5. Step 5: Solve for x
    x = 145,209,285.33/11,602.38
  6. Step 6: Final answer
    x = 12,515.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.